Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	263×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

4.0ms

(* x (log x))

series173.0ms

Counts

1 → 3

Calls

1 calls:

172.0ms

(* x (log x))

simplify200.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	121
1	348	105
2	1040	98
3	4535	98
4	5001	98

prune39.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
10.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series992.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(* x (log (cbrt x)))
333.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
171.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify56.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	381	753
1	1662	639
2	5002	569

prune263.0ms

Filtered

123 candidates to 102 candidates (82.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	123	6	129

Merged error: 0b

Counts

129 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series688.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
169.0ms	(cbrt x)
169.0ms	(cbrt x)
170.0ms	(pow x 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	101	174
1	292	150
2	1057	142
3	5001	137

prune236.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
0.4b	(* (sqrt x) (log (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+` `associate-+r+`
7×	`pow1`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u`
3×	`pow1/3`
2×	`log-pow` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 126

Calls

4 calls:

11.0ms	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
6.0ms	(* (sqrt x) (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series847.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
89.0ms	(* (sqrt x) (log (cbrt x)))
180.0ms	(cbrt x)
327.0ms	(cbrt x)

simplify72.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	563	1110
1	2307	936
2	5002	864

prune301.0ms

Filtered

138 candidates to 114 candidates (82.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	139	5	144

Merged error: 0b

Counts

144 → 5

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample518.0ms

Algorithm

intervals

Results

203.0ms	8041×	body	80	valid
135.0ms	8114×	body	80	nan